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// * the Geant4 Collaboration.  It is provided  under  the terms  and *
// * conditions of the Geant4 Software License,  included in the file *
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//
// neutron_hp -- source file
// J.P. Wellisch, Nov-1996
// A prototype of the low energy neutron transport model.
// P. Arce, June-2014 Conversion neutron_hp to particle_hp
//
#include "G4ParticleHPFastLegendre.hh"

  const G4double G4ParticleHPFastLegendre::l30[6201] = {1, 0.855521, 0.721722,
  0.598075, 0.484073, 0.379227, 0.283065, 0.195135, 0.115001,
  0.0422439, -0.0235386, -0.0827337, -0.135713, -0.182834, -0.224438,
  -0.260855, -0.292399, -0.319373, -0.342067, -0.360756, -0.375708,
  -0.387176, -0.395402, -0.400619, -0.403049, -0.402903, -0.400384,
  -0.395683, -0.388986, -0.380465, -0.370289, -0.358615, -0.345594,
  -0.331367, -0.316072, -0.299835, -0.282779, -0.265019, -0.246663,
  -0.227814, -0.208568, -0.189016, -0.169245, -0.149335, -0.12936,
  -0.109391, -0.0894952, -0.0697328, -0.0501611, -0.0308334,
  -0.0117988, 0.00689751, 0.0252136, 0.0431113, 0.0605555, 0.0775144,
  0.0939593, 0.109864, 0.125206, 0.139964, 0.15412, 0.167658,
  0.180566, 0.192832, 0.204446, 0.215402, 0.225694, 0.235319,
  0.244274, 0.252558, 0.260174, 0.267123, 0.27341, 0.279038, 0.284014,
  0.288346, 0.292041, 0.295109, 0.297559, 0.299403, 0.300652,
  0.301318, 0.301414, 0.300953, 0.29995, 0.298419, 0.296375, 0.293833,
  0.290809, 0.287318, 0.283377, 0.279003, 0.274211, 0.26902, 0.263444,
  0.257502, 0.251211, 0.244587, 0.237648, 0.230411, 0.222892,
  0.215108, 0.207077, 0.198815, 0.190338, 0.181663, 0.172806,
  0.163783, 0.15461, 0.145302, 0.135876, 0.126345, 0.116725, 0.107031,
  0.0972765, 0.0874757, 0.0776424, 0.0677899, 0.0579315, 0.0480799,
  0.0382476, 0.0284468, 0.0186891, 0.00898619, -0.000650915,
  -0.0102114, -0.0196848, -0.0290611, -0.0383305, -0.0474836,
  -0.0565113, -0.065405, -0.0741563, -0.0827573, -0.0912002,
  -0.0994778, -0.107583, -0.115509, -0.123251, -0.130801, -0.138154,
  -0.145305, -0.152249, -0.158982, -0.165499, -0.171796, -0.177869,
  -0.183715, -0.189332, -0.194715, -0.199863, -0.204774, -0.209445,
  -0.213875, -0.218063, -0.222007, -0.225707, -0.229162, -0.232372,
  -0.235336, -0.238055, -0.240529, -0.242759, -0.244746, -0.24649,
  -0.247993, -0.249256, -0.250281, -0.251069, -0.251624, -0.251946,
  -0.252039, -0.251904, -0.251545, -0.250964, -0.250164, -0.249149,
  -0.247921, -0.246485, -0.244843, -0.242999, -0.240957, -0.238721,
  -0.236295, -0.233682, -0.230888, -0.227915, -0.224769, -0.221454,
  -0.217974, -0.214334, -0.210538, -0.206592, -0.202499, -0.198264,
  -0.193893, -0.18939, -0.184759, -0.180007, -0.175137, -0.170154,
  -0.165065, -0.159872, -0.154582, -0.149199, -0.143728, -0.138175,
  -0.132544, -0.12684, -0.121067, -0.115232, -0.109339, -0.103392,
  -0.0973962, -0.0913569, -0.0852786, -0.079166, -0.0730237,
  -0.0668565, -0.060669, -0.0544655, -0.0482508, -0.0420292,
  -0.0358052, -0.029583, -0.023367, -0.0171614, -0.0109704,
  -0.00479798, 0.00135168, 0.00747465, 0.013567, 0.019625, 0.0256448,
  0.0316226, 0.037555, 0.0434383, 0.049269, 0.0550439, 0.0607594,
  0.0664125, 0.072, 0.0775187, 0.0829657, 0.088338, 0.0936329,
  0.0988474, 0.103979, 0.109025, 0.113983, 0.118851, 0.123626,
  0.128306, 0.132889, 0.137372, 0.141754, 0.146033, 0.150207,
  0.154274, 0.158233, 0.162081, 0.165818, 0.169442, 0.172952,
  0.176346, 0.179624, 0.182784, 0.185824, 0.188746, 0.191546,
  0.194225, 0.196782, 0.199217, 0.201528, 0.203715, 0.205779,
  0.207718, 0.209532, 0.211222, 0.212787, 0.214226, 0.215541,
  0.216732, 0.217797, 0.218738, 0.219556, 0.220249, 0.22082, 0.221267,
  0.221593, 0.221797, 0.22188, 0.221844, 0.221687, 0.221413, 0.221021,
  0.220512, 0.219888, 0.21915, 0.218298, 0.217334, 0.216259, 0.215074,
  0.213781, 0.212381, 0.210875, 0.209265, 0.207552, 0.205738,
  0.203824, 0.201812, 0.199704, 0.197501, 0.195205, 0.192817,
  0.190339, 0.187774, 0.185122, 0.182387, 0.179568, 0.17667, 0.173692,
  0.170638, 0.16751, 0.164308, 0.161035, 0.157694, 0.154286, 0.150813,
  0.147278, 0.143681, 0.140027, 0.136315, 0.132549, 0.128731,
  0.124863, 0.120946, 0.116983, 0.112977, 0.108928, 0.10484, 0.100715,
  0.0965538, 0.0923594, 0.0881339, 0.0838792, 0.0795976, 0.0752912,
  0.0709619, 0.066612, 0.0622435, 0.0578584, 0.053459, 0.0490471,
  0.0446249, 0.0401944, 0.0357576, 0.0313165, 0.0268731, 0.0224295,
  0.0179875, 0.0135491, 0.00911629, 0.00469093, 0.000274936,
  -0.00412982, -0.00852148, -0.0128982, -0.0172582, -0.0215996,
  -0.0259207, -0.0302197, -0.0344948, -0.0387445, -0.042967,
  -0.0471605, -0.0513236, -0.0554546, -0.0595519, -0.0636139,
  -0.0676391, -0.0716261, -0.0755732, -0.0794792, -0.0833424,
  -0.0871617, -0.0909355, -0.0946626, -0.0983416, -0.101971, -0.10555,
  -0.109078, -0.112552, -0.115972, -0.119337, -0.122645, -0.125896,
  -0.129088, -0.132221, -0.135293, -0.138304, -0.141253, -0.144138,
  -0.146959, -0.149715, -0.152406, -0.15503, -0.157586, -0.160075,
  -0.162495, -0.164846, -0.167127, -0.169338, -0.171478, -0.173546,
  -0.175543, -0.177467, -0.179318, -0.181096, -0.182801, -0.184431,
  -0.185988, -0.18747, -0.188877, -0.19021, -0.191467, -0.192649,
  -0.193756, -0.194788, -0.195744, -0.196624, -0.197429, -0.198159,
  -0.198813, -0.199392, -0.199895, -0.200323, -0.200677, -0.200955,
  -0.201159, -0.201289, -0.201345, -0.201327, -0.201235, -0.20107,
  -0.200833, -0.200523, -0.200141, -0.199688, -0.199164, -0.198569,
  -0.197904, -0.19717, -0.196366, -0.195494, -0.194554, -0.193547,
  -0.192473, -0.191334, -0.190129, -0.188859, -0.187526, -0.186129,
  -0.18467, -0.183149, -0.181567, -0.179925, -0.178224, -0.176464,
  -0.174647, -0.172773, -0.170843, -0.168858, -0.166818, -0.164725,
  -0.16258, -0.160384, -0.158137, -0.155841, -0.153496, -0.151103,
  -0.148664, -0.14618, -0.143651, -0.141078, -0.138463, -0.135806,
  -0.133109, -0.130372, -0.127597, -0.124785, -0.121937, -0.119053,
  -0.116136, -0.113185, -0.110203, -0.10719, -0.104147, -0.101076,
  -0.0979773, -0.0948523, -0.091702, -0.0885275, -0.0853301,
  -0.0821108, -0.0788708, -0.0756111, -0.0723329, -0.0690373,
  -0.0657254, -0.0623984, -0.0590573, -0.0557033, -0.0523374,
  -0.0489609, -0.0455747, -0.0421801, -0.0387781, -0.0353698,
  -0.0319563, -0.0285387, -0.0251181, -0.0216955, -0.0182721,
  -0.014849, -0.0114271, -0.00800753, -0.00459138, -0.00117969,
  0.00222652, 0.0056262, 0.00901834, 0.0124019, 0.0157759, 0.0191393,
  0.0224911, 0.0258304, 0.0291561, 0.0324673, 0.0357631, 0.0390424,
  0.0423044, 0.045548, 0.0487725, 0.0519769, 0.0551602, 0.0583216,
  0.0614603, 0.0645753, 0.0676658, 0.070731, 0.0737699, 0.0767819,
  0.0797661, 0.0827217, 0.0856479, 0.0885439, 0.0914091, 0.0942426,
  0.0970437, 0.0998116, 0.102546, 0.105245, 0.10791, 0.110539,
  0.113131, 0.115686, 0.118203, 0.120682, 0.123122, 0.125522,
  0.127882, 0.130202, 0.13248, 0.134716, 0.136911, 0.139062, 0.14117,
  0.143235, 0.145255, 0.147231, 0.149162, 0.151047, 0.152887, 0.15468,
  0.156427, 0.158126, 0.159779, 0.161384, 0.162941, 0.16445, 0.16591,
  0.167322, 0.168685, 0.169998, 0.171262, 0.172477, 0.173641,
  0.174756, 0.175821, 0.176835, 0.177799, 0.178712, 0.179575,
  0.180387, 0.181148, 0.181858, 0.182518, 0.183126, 0.183684, 0.18419,
  0.184646, 0.185051, 0.185405, 0.185708, 0.18596, 0.186162, 0.186313,
  0.186413, 0.186463, 0.186463, 0.186413, 0.186313, 0.186163,
  0.185964, 0.185715, 0.185417, 0.18507, 0.184675, 0.184231, 0.183738,
  0.183198, 0.18261, 0.181974, 0.181292, 0.180563, 0.179787, 0.178965,
  0.178097, 0.177184, 0.176226, 0.175223, 0.174176, 0.173084, 0.17195,
  0.170772, 0.169551, 0.168289, 0.166984, 0.165638, 0.164251,
  0.162824, 0.161357, 0.15985, 0.158305, 0.156721, 0.155099, 0.153439,
  0.151743, 0.15001, 0.148241, 0.146437, 0.144598, 0.142725, 0.140819,
  0.138879, 0.136907, 0.134902, 0.132867, 0.130801, 0.128704,
  0.126578, 0.124423, 0.12224, 0.120029, 0.117792, 0.115527, 0.113237,
  0.110922, 0.108582, 0.106218, 0.103831, 0.101421, 0.0989895,
  0.0965366, 0.0940631, 0.0915695, 0.0890567, 0.0865252, 0.0839757,
  0.0814089, 0.0788254, 0.076226, 0.0736112, 0.0709819, 0.0683385,
  0.0656819, 0.0630127, 0.0603316, 0.0576392, 0.0549362, 0.0522234,
  0.0495013, 0.0467707, 0.0440322, 0.0412865, 0.0385344, 0.0357764,
  0.0330132, 0.0302455, 0.027474, 0.0246994, 0.0219222, 0.0191433,
  0.0163632, 0.0135826, 0.0108021, 0.00802247, 0.0052443, 0.00246826,
  -0.000305014, -0.00307487, -0.00584067, -0.00860177, -0.0113575,
  -0.0141074, -0.0168506, -0.0195866, -0.0223147, -0.0250344,
  -0.0277451, -0.0304461, -0.0331368, -0.0358166, -0.0384849,
  -0.0411412, -0.0437848, -0.0464153, -0.0490319, -0.0516341,
  -0.0542214, -0.0567933, -0.059349, -0.0618882, -0.0644102,
  -0.0669146, -0.0694008, -0.0718682, -0.0743164, -0.0767448,
  -0.079153, -0.0815403, -0.0839065, -0.0862509, -0.088573,
  -0.0908725, -0.0931488, -0.0954014, -0.09763, -0.0998341, -0.102013,
  -0.104167, -0.106295, -0.108396, -0.110471, -0.112519, -0.11454,
  -0.116532, -0.118497, -0.120433, -0.122339, -0.124217, -0.126065,
  -0.127883, -0.12967, -0.131427, -0.133153, -0.134847, -0.13651,
  -0.138141, -0.13974, -0.141306, -0.14284, -0.14434, -0.145808,
  -0.147241, -0.148641, -0.150007, -0.151339, -0.152637, -0.153899,
  -0.155127, -0.15632, -0.157478, -0.1586, -0.159687, -0.160738,
  -0.161753, -0.162732, -0.163675, -0.164582, -0.165453, -0.166286,
  -0.167084, -0.167844, -0.168568, -0.169255, -0.169906, -0.170519,
  -0.171095, -0.171634, -0.172136, -0.172601, -0.173028, -0.173419,
  -0.173772, -0.174089, -0.174368, -0.174609, -0.174814, -0.174982,
  -0.175112, -0.175206, -0.175263, -0.175283, -0.175266, -0.175212,
  -0.175122, -0.174995, -0.174831, -0.174632, -0.174396, -0.174124,
  -0.173816, -0.173472, -0.173093, -0.172678, -0.172228, -0.171742,
  -0.171222, -0.170666, -0.170076, -0.169451, -0.168793, -0.1681,
  -0.167373, -0.166612, -0.165818, -0.164991, -0.164131, -0.163238,
  -0.162313, -0.161355, -0.160366, -0.159345, -0.158292, -0.157208,
  -0.156093, -0.154948, -0.153772, -0.152567, -0.151331, -0.150067,
  -0.148773, -0.14745, -0.146099, -0.14472, -0.143313, -0.141879,
  -0.140417, -0.138929, -0.137414, -0.135874, -0.134307, -0.132715,
  -0.131098, -0.129457, -0.127791, -0.126102, -0.124389, -0.122653,
  -0.120894, -0.119113, -0.11731, -0.115485, -0.11364, -0.111773,
  -0.109887, -0.10798, -0.106054, -0.104109, -0.102145, -0.100163,
  -0.0981631, -0.0961458, -0.0941115, -0.0920608, -0.0899939,
  -0.0879113, -0.0858135, -0.0837009, -0.081574, -0.0794331,
  -0.0772787, -0.0751113, -0.0729313, -0.0707391, -0.0685353,
  -0.0663202, -0.0640942, -0.061858, -0.0596118, -0.0573561,
  -0.0550914, -0.0528182, -0.0505369, -0.0482479, -0.0459517,
  -0.0436487, -0.0413395, -0.0390244, -0.036704, -0.0343786,
  -0.0320487, -0.0297147, -0.0273772, -0.0250366, -0.0226932,
  -0.0203477, -0.0180003, -0.0156517, -0.0133021, -0.0109521,
  -0.00860205, -0.00625248, -0.0039038, -0.00155644, 0.000789146,
  0.00313253, 0.00547327, 0.00781093, 0.0101451, 0.0124753, 0.0148011,
  0.0171222, 0.019438, 0.0217482, 0.0240523, 0.0263499, 0.0286406,
  0.030924, 0.0331997, 0.0354672, 0.0377261, 0.0399762, 0.0422168,
  0.0444477, 0.0466685, 0.0488787, 0.051078, 0.053266, 0.0554422,
  0.0576064, 0.0597581, 0.061897, 0.0640227, 0.0661348, 0.0682329,
  0.0703168, 0.072386, 0.0744401, 0.0764789, 0.078502, 0.0805091,
  0.0824997, 0.0844737, 0.0864305, 0.08837, 0.0902917, 0.0921955,
  0.0940809, 0.0959476, 0.0977953, 0.0996238, 0.101433, 0.103222,
  0.104991, 0.106739, 0.108467, 0.110174, 0.111859, 0.113523,
  0.115165, 0.116785, 0.118383, 0.119958, 0.121511, 0.12304, 0.124546,
  0.126029, 0.127487, 0.128922, 0.130333, 0.131719, 0.133081,
  0.134417, 0.135729, 0.137016, 0.138277, 0.139513, 0.140723,
  0.141907, 0.143064, 0.144196, 0.145301, 0.14638, 0.147432, 0.148457,
  0.149455, 0.150426, 0.15137, 0.152286, 0.153175, 0.154036, 0.15487,
  0.155676, 0.156453, 0.157203, 0.157925, 0.158618, 0.159284,
  0.159921, 0.160529, 0.161109, 0.161661, 0.162184, 0.162679,
  0.163144, 0.163581, 0.16399, 0.164369, 0.16472, 0.165042, 0.165336,
  0.1656, 0.165836, 0.166043, 0.166221, 0.16637, 0.166491, 0.166583,
  0.166646, 0.16668, 0.166686, 0.166663, 0.166612, 0.166532, 0.166424,
  0.166287, 0.166122, 0.165929, 0.165708, 0.165458, 0.165181,
  0.164876, 0.164543, 0.164182, 0.163793, 0.163377, 0.162934,
  0.162463, 0.161965, 0.16144, 0.160888, 0.16031, 0.159704, 0.159072,
  0.158414, 0.15773, 0.15702, 0.156283, 0.155521, 0.154734, 0.153921,
  0.153082, 0.152219, 0.151331, 0.150418, 0.149481, 0.148519,
  0.147533, 0.146524, 0.14549, 0.144433, 0.143353, 0.14225, 0.141124,
  0.139975, 0.138804, 0.13761, 0.136395, 0.135158, 0.133899, 0.132619,
  0.131318, 0.129997, 0.128654, 0.127292, 0.125909, 0.124507,
  0.123085, 0.121644, 0.120184, 0.118706, 0.117208, 0.115693, 0.11416,
  0.112609, 0.11104, 0.109455, 0.107853, 0.106234, 0.104599, 0.102948,
  0.101282, 0.0996002, 0.0979033, 0.0961917, 0.0944656, 0.0927254,
  0.0909712, 0.0892036, 0.0874227, 0.0856288, 0.0838223, 0.0820035,
  0.0801726, 0.0783301, 0.0764761, 0.0746111, 0.0727353, 0.070849,
  0.0689527, 0.0670465, 0.0651308, 0.063206, 0.0612722, 0.05933,
  0.0573796, 0.0554212, 0.0534554, 0.0514822, 0.0495022, 0.0475156,
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  0.019625, 0.013567, 0.00747465, 0.00135168, -0.00479798, -0.0109704,
  -0.0171614, -0.023367, -0.029583, -0.0358052, -0.0420292,
  -0.0482508, -0.0544655, -0.060669, -0.0668565, -0.0730237,
  -0.079166, -0.0852786, -0.0913569, -0.0973962, -0.103392, -0.109339,
  -0.115232, -0.121067, -0.12684, -0.132544, -0.138175, -0.143728,
  -0.149199, -0.154582, -0.159872, -0.165065, -0.170154, -0.175137,
  -0.180007, -0.184759, -0.18939, -0.193893, -0.198264, -0.202499,
  -0.206592, -0.210538, -0.214334, -0.217974, -0.221454, -0.224769,
  -0.227915, -0.230888, -0.233682, -0.236295, -0.238721, -0.240957,
  -0.242999, -0.244843, -0.246485, -0.247921, -0.249149, -0.250164,
  -0.250964, -0.251545, -0.251904, -0.252039, -0.251946, -0.251624,
  -0.251069, -0.250281, -0.249256, -0.247993, -0.24649, -0.244746,
  -0.242759, -0.240529, -0.238055, -0.235336, -0.232372, -0.229162,
  -0.225707, -0.222007, -0.218063, -0.213875, -0.209445, -0.204774,
  -0.199863, -0.194715, -0.189332, -0.183715, -0.177869, -0.171796,
  -0.165499, -0.158982, -0.152249, -0.145305, -0.138154, -0.130801,
  -0.123251, -0.115509, -0.107583, -0.0994778, -0.0912002, -0.0827573,
  -0.0741563, -0.065405, -0.0565113, -0.0474836, -0.0383305,
  -0.0290611, -0.0196848, -0.0102114, -0.000650915, 0.00898619,
  0.0186891, 0.0284468, 0.0382476, 0.0480799, 0.0579315, 0.0677899,
  0.0776424, 0.0874757, 0.0972765, 0.107031, 0.116725, 0.126345,
  0.135876, 0.145302, 0.15461, 0.163783, 0.172806, 0.181663, 0.190338,
  0.198815, 0.207077, 0.215108, 0.222892, 0.230411, 0.237648,
  0.244587, 0.251211, 0.257502, 0.263444, 0.26902, 0.274211, 0.279003,
  0.283377, 0.287318, 0.290809, 0.293833, 0.296375, 0.298419, 0.29995,
  0.300953, 0.301414, 0.301318, 0.300652, 0.299403, 0.297559,
  0.295109, 0.292041, 0.288346, 0.284014, 0.279038, 0.27341, 0.267123,
  0.260174, 0.252558, 0.244274, 0.235319, 0.225694, 0.215402,
  0.204446, 0.192832, 0.180566, 0.167658, 0.15412, 0.139964, 0.125206,
  0.109864, 0.0939593, 0.0775144, 0.0605555, 0.0431113, 0.0252136,
  0.00689751, -0.0117988, -0.0308334, -0.0501611, -0.0697328,
  -0.0894952, -0.109391, -0.12936, -0.149335, -0.169245, -0.189016,
  -0.208568, -0.227814, -0.246663, -0.265019, -0.282779, -0.299835,
  -0.316072, -0.331367, -0.345594, -0.358615, -0.370289, -0.380465,
  -0.388986, -0.395683, -0.400384, -0.402903, -0.403049, -0.400619,
  -0.395402, -0.387176, -0.375708, -0.360756, -0.342067, -0.319373,
  -0.292399, -0.260855, -0.224438, -0.182834, -0.135713, -0.0827337,
  -0.0235386, 0.0422439, 0.115001, 0.195135, 0.283065, 0.379227,
  0.484073, 0.598075, 0.721722, 0.855521, 1}; const G4double
  G4ParticleHPFastLegendre::i30[6201] = {0, 0.000298974, 0.000553079,
  0.000765675, 0.000939955, 0.00107895, 0.00118554, 0.00126244,
  0.00131225, 0.00133742, 0.00134025, 0.00132293, 0.00128753,
  0.00123599, 0.00117016, 0.00109174, 0.00100238, 0.000903582,
  0.000796783, 0.000683317, 0.000564433, 0.000441294, 0.000314985,
  0.000186514, 5.68163e-05, -7.32445e-05, -0.00020287, -0.000331326,
  -0.000457938, -0.000582091, -0.000703224, -0.000820829,
  -0.000934446, -0.00104367, -0.00114812, -0.00124748, -0.00134147,
  -0.00142985, -0.00151239, -0.00158893, -0.00165933, -0.00172346,
  -0.00178125, -0.00183263, -0.00187759, -0.00191609, -0.00194817,
  -0.00197385, -0.00199318, -0.00200623, -0.0020131, -0.00201388,
  -0.00200869, -0.00199766, -0.00198093, -0.00195864, -0.00193097,
  -0.00189808, -0.00186015, -0.00181737, -0.00176992, -0.001718,
  -0.00166182, -0.00160157, -0.00153748, -0.00146974, -0.00139858,
  -0.0013242, -0.00124683, -0.00116668, -0.00108396, -0.000998893,
  -0.000911692, -0.00082257, -0.000731737, -0.000639403, -0.000545775,
  -0.000451056, -0.000355447, -0.000259146, -0.000162347,
  -6.52388e-05, 3.19916e-05, 0.000129163, 0.000226098, 0.000322623,
  0.000418572, 0.00051378, 0.00060809, 0.000701349, 0.000793409,
  0.000884127, 0.000973367, 0.001061, 0.00114689, 0.00123092,
  0.00131298, 0.00139296, 0.00147075, 0.00154625, 0.00161937,
  0.00169002, 0.00175812, 0.00182359, 0.00188637, 0.00194637,
  0.00200355, 0.00205784, 0.0021092, 0.00215758, 0.00220293,
  0.00224523, 0.00228443, 0.00232053, 0.00235348, 0.00238328,
  0.00240991, 0.00243337, 0.00245365, 0.00247074, 0.00248467,
  0.00249542, 0.00250303, 0.00250749, 0.00250883, 0.00250708,
  0.00250225, 0.00249439, 0.00248351, 0.00246967, 0.00245289,
  0.00243322, 0.00241071, 0.0023854, 0.00235734, 0.00232658,
  0.00229317, 0.00225719, 0.00221867, 0.00217769, 0.0021343,
  0.00208858, 0.00204058, 0.00199038, 0.00193804, 0.00188363,
  0.00182722, 0.0017689, 0.00170872, 0.00164677, 0.00158312,
  0.00151785, 0.00145104, 0.00138275, 0.00131308, 0.00124209,
  0.00116987, 0.0010965, 0.00102205, 0.00094661, 0.00087025,
  0.000793052, 0.000715095, 0.000636459, 0.00055722, 0.000477459,
  0.000397251, 0.000316674, 0.000235804, 0.000154718, 7.34909e-05,
  -7.80328e-06, -8.90906e-05, -0.000170298, -0.000251354,
  -0.000332187, -0.000412728, -0.000492906, -0.000572655,
  -0.000651907, -0.000730597, -0.00080866, -0.000886032, -0.000962653,
  -0.00103846, -0.0011134, -0.0011874, -0.00126042, -0.0013324,
  -0.00140328, -0.00147301, -0.00154154, -0.00160882, -0.00167481,
  -0.00173945, -0.00180271, -0.00186453, -0.00192488, -0.00198372,
  -0.002041, -0.0020967, -0.00215077, -0.00220318, -0.0022539,
  -0.0023029, -0.00235015, -0.00239562, -0.00243929, -0.00248112,
  -0.00252111, -0.00255923, -0.00259545, -0.00262976, -0.00266215,
  -0.00269259, -0.00272108, -0.00274761, -0.00277215, -0.00279472,
  -0.00281529, -0.00283386, -0.00285042, -0.00286498, -0.00287754,
  -0.00288809, -0.00289663, -0.00290316, -0.0029077, -0.00291024,
  -0.0029108, -0.00290937, -0.00290598, -0.00290062, -0.00289332,
  -0.00288408, -0.00287292, -0.00285986, -0.0028449, -0.00282808,
  -0.0028094, -0.00278888, -0.00276656, -0.00274244, -0.00271655,
  -0.00268892, -0.00265957, -0.00262852, -0.00259581, -0.00256145,
  -0.00252548, -0.00248792, -0.00244881, -0.00240817, -0.00236604,
  -0.00232245, -0.00227742, -0.002231, -0.00218322, -0.00213411,
  -0.0020837, -0.00203203, -0.00197914, -0.00192507, -0.00186984,
  -0.0018135, -0.00175608, -0.00169762, -0.00163817, -0.00157775,
  -0.00151641, -0.00145418, -0.00139111, -0.00132724, -0.0012626,
  -0.00119723, -0.00113118, -0.00106449, -0.000997185, -0.000929318,
  -0.000860926, -0.000792049, -0.000722728, -0.000653003,
  -0.000582915, -0.000512502, -0.000441806, -0.000370867,
  -0.000299723, -0.000228415, -0.000156983, -8.54648e-05,
  -1.39006e-05, 5.76711e-05, 0.000129212, 0.000200683, 0.000272046,
  0.000343264, 0.0004143, 0.000485116, 0.000555675, 0.000625941,
  0.000695879, 0.000765451, 0.000834625, 0.000903363, 0.000971633,
  0.0010394, 0.00110663, 0.00117329, 0.00123936, 0.00130478,
  0.00136955, 0.00143361, 0.00149696, 0.00155954, 0.00162135,
  0.00168233, 0.00174248, 0.00180176, 0.00186014, 0.0019176,
  0.00197411, 0.00202965, 0.00208419, 0.00213772, 0.00219019,
  0.0022416, 0.00229192, 0.00234113, 0.00238922, 0.00243615,
  0.00248191, 0.00252648, 0.00256985, 0.00261199, 0.00265289,
  0.00269254, 0.00273092, 0.00276801, 0.0028038, 0.00283828,
  0.00287144, 0.00290326, 0.00293373, 0.00296284, 0.00299058,
  0.00301695, 0.00304193, 0.00306552, 0.00308771, 0.0031085,
  0.00312787, 0.00314582, 0.00316236, 0.00317747, 0.00319115,
  0.0032034, 0.00321422, 0.0032236, 0.00323155, 0.00323807,
  0.00324316, 0.00324681, 0.00324904, 0.00324984, 0.00324922,
  0.00324718, 0.00324372, 0.00323886, 0.00323259, 0.00322493,
  0.00321587, 0.00320543, 0.00319362, 0.00318044, 0.0031659,
  0.00315002, 0.00313279, 0.00311424, 0.00309438, 0.0030732,
  0.00305074, 0.003027, 0.00300199, 0.00297573, 0.00294822, 0.0029195,
  0.00288956, 0.00285843, 0.00282612, 0.00279265, 0.00275803,
  0.00272228, 0.00268542, 0.00264747, 0.00260843, 0.00256835,
  0.00252722, 0.00248507, 0.00244192, 0.00239779, 0.0023527,
  0.00230667, 0.00225971, 0.00221186, 0.00216313, 0.00211354,
  0.00206312, 0.00201188, 0.00195985, 0.00190705, 0.00185351,
  0.00179923, 0.00174426, 0.00168861, 0.0016323, 0.00157537,
  0.00151782, 0.00145968, 0.00140099, 0.00134176, 0.00128201,
  0.00122177, 0.00116107, 0.00109992, 0.00103836, 0.000976404,
  0.000914078, 0.000851408, 0.000788417, 0.000725129, 0.00066157,
  0.000597763, 0.000533734, 0.000469505, 0.000405102, 0.000340549,
  0.000275869, 0.000211088, 0.000146228, 8.13153e-05, 1.63724e-05,
  -4.85767e-05, -0.000113508, -0.000178398, -0.000243223, -0.00030796,
  -0.000372585, -0.000437076, -0.000501409, -0.000565561, -0.00062951,
  -0.000693234, -0.000756709, -0.000819914, -0.000882827,
  -0.000945426, -0.00100769, -0.0010696, -0.00113112, -0.00119225,
  -0.00125296, -0.00131323, -0.00137304, -0.00143237, -0.00149119,
  -0.0015495, -0.00160727, -0.00166448, -0.00172111, -0.00177715,
  -0.00183257, -0.00188736, -0.0019415, -0.00199498, -0.00204777,
  -0.00209987, -0.00215124, -0.00220188, -0.00225178, -0.00230091,
  -0.00234926, -0.00239682, -0.00244356, -0.00248949, -0.00253458,
  -0.00257882, -0.00262219, -0.00266469, -0.0027063, -0.00274701,
  -0.0027868, -0.00282567, -0.00286361, -0.00290059, -0.00293663,
  -0.00297169, -0.00300578, -0.00303888, -0.00307098, -0.00310209,
  -0.00313218, -0.00316125, -0.00318929, -0.0032163, -0.00324226,
  -0.00326718, -0.00329104, -0.00331384, -0.00333558, -0.00335624,
  -0.00337583, -0.00339434, -0.00341177, -0.00342811, -0.00344336,
  -0.00345751, -0.00347057, -0.00348253, -0.00349339, -0.00350315,
  -0.0035118, -0.00351935, -0.0035258, -0.00353114, -0.00353538,
  -0.00353851, -0.00354054, -0.00354147, -0.00354131, -0.00354004,
  -0.00353768, -0.00353422, -0.00352968, -0.00352404, -0.00351733,
  -0.00350954, -0.00350067, -0.00349073, -0.00347972, -0.00346766,
  -0.00345453, -0.00344036, -0.00342515, -0.0034089, -0.00339162,
  -0.00337332, -0.003354, -0.00333367, -0.00331234, -0.00329001,
  -0.00326671, -0.00324242, -0.00321717, -0.00319096, -0.00316381,
  -0.00313571, -0.00310668, -0.00307674, -0.00304589, -0.00301413,
  -0.0029815, -0.00294798, -0.0029136, -0.00287836, -0.00284229,
  -0.00280538, -0.00276766, -0.00272912, -0.0026898, -0.0026497,
  -0.00260882, -0.0025672, -0.00252483, -0.00248173, -0.00243792,
  -0.0023934, -0.0023482, -0.00230233, -0.0022558, -0.00220862,
  -0.00216082, -0.00211239, -0.00206337, -0.00201376, -0.00196358,
  -0.00191285, -0.00186157, -0.00180977, -0.00175746, -0.00170465,
  -0.00165137, -0.00159762, -0.00154342, -0.00148879, -0.00143375,
  -0.00137831, -0.00132248, -0.00126629, -0.00120974, -0.00115286,
  -0.00109566, -0.00103816, -0.000980366, -0.000922306, -0.000863993,
  -0.000805442, -0.00074667, -0.000687694, -0.00062853, -0.000569194,
  -0.000509703, -0.000450073, -0.00039032, -0.000330462, -0.000270514,
  -0.000210493, -0.000150416, -9.02971e-05, -3.01543e-05, 2.99966e-05,
  9.01393e-05, 0.000150258, 0.000210336, 0.000270358, 0.000330308,
  0.000390169, 0.000449926, 0.000509564, 0.000569066, 0.000628417,
  0.000687602, 0.000746604, 0.00080541, 0.000864002, 0.000922367,
  0.000980489, 0.00103835, 0.00109595, 0.00115325, 0.00121025,
  0.00126694, 0.0013233, 0.00137931, 0.00143496, 0.00149024,
  0.00154513, 0.00159962, 0.0016537, 0.00170735, 0.00176056,
  0.00181331, 0.0018656, 0.00191741, 0.00196873, 0.00201954,
  0.00206983, 0.0021196, 0.00216882, 0.00221749, 0.0022656,
  0.00231313, 0.00236007, 0.00240641, 0.00245215, 0.00249726,
  0.00254174, 0.00258558, 0.00262877, 0.0026713, 0.00271316,
  0.00275433, 0.00279482, 0.0028346, 0.00287368, 0.00291204,
  0.00294967, 0.00298657, 0.00302272, 0.00305813, 0.00309277,
  0.00312665, 0.00315976, 0.00319208, 0.00322362, 0.00325436,
  0.00328431, 0.00331344, 0.00334176, 0.00336926, 0.00339594,
  0.00342178, 0.00344679, 0.00347096, 0.00349428, 0.00351675,
  0.00353837, 0.00355912, 0.00357902, 0.00359805, 0.0036162,
  0.00363349, 0.0036499, 0.00366542, 0.00368007, 0.00369383,
  0.00370671, 0.00371869, 0.00372979, 0.00373999, 0.0037493,
  0.00375771, 0.00376523, 0.00377186, 0.00377758, 0.00378241,
  0.00378635, 0.00378938, 0.00379152, 0.00379277, 0.00379312,
  0.00379257, 0.00379113, 0.0037888, 0.00378558, 0.00378148,
  0.00377648, 0.00377061, 0.00376385, 0.00375621, 0.0037477,
  0.00373831, 0.00372806, 0.00371693, 0.00370495, 0.00369211,
  0.00367841, 0.00366386, 0.00364846, 0.00363223, 0.00361515,
  0.00359725, 0.00357851, 0.00355896, 0.00353859, 0.00351741,
  0.00349542, 0.00347263, 0.00344905, 0.00342469, 0.00339954,
  0.00337362, 0.00334694, 0.00331949, 0.0032913, 0.00326235,
  0.00323267, 0.00320226, 0.00317112, 0.00313927, 0.00310672,
  0.00307346, 0.00303952, 0.00300489, 0.00296959, 0.00293362,
  0.002897, 0.00285973, 0.00282182, 0.00278328, 0.00274412,
  0.00270435, 0.00266398, 0.00262302, 0.00258148, 0.00253937,
  0.00249669, 0.00245347, 0.0024097, 0.0023654, 0.00232058,
  0.00227525, 0.00222942, 0.0021831, 0.0021363, 0.00208903,
  0.00204131, 0.00199314, 0.00194453, 0.0018955, 0.00184606,
  0.00179622, 0.00174598, 0.00169537, 0.00164439, 0.00159305,
  0.00154137, 0.00148935, 0.00143701, 0.00138437, 0.00133142,
  0.00127819, 0.00122468, 0.00117091, 0.00111689, 0.00106263,
  0.00100814, 0.000953435, 0.000898527, 0.000843427, 0.000788147,
  0.000732699, 0.000677096, 0.000621348, 0.000565468, 0.000509469,
  0.000453361, 0.000397157, 0.00034087, 0.00028451, 0.00022809,
  0.000171622, 0.000115118, 5.85902e-05, 2.04962e-06, -5.44914e-05,
  -0.000111021, -0.000167528, -0.000223999, -0.000280423, -0.00033679,
  -0.000393085, -0.000449299, -0.00050542, -0.000561435, -0.000617333,
  -0.000673104, -0.000728735, -0.000784215, -0.000839532,
  -0.000894677, -0.000949636, -0.0010044, -0.00105896, -0.00111329,
  -0.0011674, -0.00122127, -0.00127489, -0.00132825, -0.00138133,
  -0.00143414, -0.00148665, -0.00153885, -0.00159074, -0.00164231,
  -0.00169354, -0.00174443, -0.00179496, -0.00184513, -0.00189493,
  -0.00194434, -0.00199335, -0.00204197, -0.00209017, -0.00213795,
  -0.00218529, -0.0022322, -0.00227866, -0.00232466, -0.00237019,
  -0.00241525, -0.00245982, -0.0025039, -0.00254748, -0.00259055,
  -0.0026331, -0.00267512, -0.00271662, -0.00275757, -0.00279797,
  -0.00283782, -0.0028771, -0.00291581, -0.00295394, -0.00299149,
  -0.00302845, -0.0030648, -0.00310056, -0.0031357, -0.00317022,
  -0.00320412, -0.00323738, -0.00327001, -0.003302, -0.00333334,
  -0.00336403, -0.00339406, -0.00342342, -0.00345212, -0.00348014,
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